15 August 2010 Cluster algebras and quantum affine algebras
David Hernandez, Bernard Leclerc
Author Affiliations +
Duke Math. J. 154(2): 265-341 (15 August 2010). DOI: 10.1215/00127094-2010-040

Abstract

Let C be the category of finite-dimensional representations of a quantum affine algebra U q ( g ) of simply laced type. We introduce certain monoidal subcategories C ( N ) of C , and we study their Grothendieck rings using cluster algebras.

Citation

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David Hernandez. Bernard Leclerc. "Cluster algebras and quantum affine algebras." Duke Math. J. 154 (2) 265 - 341, 15 August 2010. https://doi.org/10.1215/00127094-2010-040

Information

Published: 15 August 2010
First available in Project Euclid: 16 August 2010

zbMATH: 1284.17010
MathSciNet: MR2682185
Digital Object Identifier: 10.1215/00127094-2010-040

Subjects:
Primary: 17B37
Secondary: 16D90

Rights: Copyright © 2010 Duke University Press

Vol.154 • No. 2 • 15 August 2010
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